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Finding the Fourth Proportional to 75,851.32, 113,684.58 and 53,671

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Solution

The fourth proportional to 75,851.32, 113,684.58 and 53,671 is: 80,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,851.32 : 113,684.58 = 53,671 : x
  2. Step 2: Convert to fraction form
    75,851.32/113,684.58 = 53,671/x
  3. Step 3: Cross multiply
    75,851.32x = 113,684.58 × 53,671
  4. Step 4: Simplify right side
    75,851.32x = 6,101,565,093.18
  5. Step 5: Solve for x
    x = 6,101,565,093.18/75,851.32
  6. Step 6: Final answer
    x = 80,441.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.